The graph shows the temperature of an oven on one holiday. The oven was lit at 8:30 A.M. Let T(x) be the temperature x hours after 8:30 A.M. Complete parts (a) through (d).
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Part 1
(a) Find and interpret Upper T prime left parenthesis 0.5 right parenthesis.
How can Upper T prime left parenthesis 0.5 right parenthesis be found?
A.
Find the slope of the line segment that connects the points (3.5,415) and (4,305).
B.
Find the slope of the line segment that connects the points (1.0,181) and (3.5,415).
C.
Find the slope of the line segment that connects the points (0.5,181) and (1,300).
Your answer is correct.D.
Find the change in y-values and add to the change in x-values for the points (0.5,181) and (1,300).
Part 2
Find and interpret Upper T prime left parenthesis 0.5 right parenthesis using the points selected in the previous step. Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest integer as needed.)
A.
Upper T prime left parenthesis 0.5 right parenthesisequals
enter your response here; The oven temperature at this time is decreasing at StartAbsoluteValue Upper T prime left parenthesis 0.5 right parenthesis EndAbsoluteValue degrees per hour.
B.
Upper T prime left parenthesis 0.5 right parenthesisequals
enter your response here; The oven temperature at this time is not changing.
C.
Upper T prime left parenthesis 0.5 right parenthesisequals
enter your response here; The oven temperature at this time is increasing at Upper T prime left parenthesis 0.5 right parenthesis degrees per hour.
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